Canonical and path-integral quantizations in the A/sub 0/ = 0 gauge: Abelian case

Journal Article · Mon May 15 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.2611· OSTI ID:6928697

Chang, Sung Sheng

It is shown that both canonical and path-integral quantizations of an electromagnetic field coupled with point charged particles can be carried out in the A/sub 0/ = 0 gauge by the usual rules without fixing the gauge completely and eliminating the longitudinal degrees of freedom. A Coulomb interaction potential is obtained as an effective potential either by separating the longitudinal-mode variables in the Schroedinger differential equation or by integrating all longitudinal-mode quantum fluctuations in the Feynman path integral. There is no Faddeev-Popov ghost or infinite gauge volume factor in our path-integral treatment.

• Research Organization: Physics Department, Syracuse University, Syracuse, New York 13210
• OSTI ID: 6928697
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
COULOMB FIELD
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
EQUATIONS
FADDEEV EQUATIONS
FEYNMAN PATH INTEGRAL
FUNCTIONS
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MECHANICS
SCHROEDINGER EQUATION
WAVE EQUATIONS